Differentiating an Integral with x Inside

Difficulty: Medium · Topics: Calculus, Limits, Fundamental Theorem of Calculus

Ichida x qatnashgan integralni differensiallash

For the function

f(x)=∫ 0^xe^2t≤ft(x^3-t^3 )dt,

calculate lim x→ 0fracf'(x)x^3.